The intense nature of the aerodynamic environment surrounding a helicopter can cause excessive deflection of the rotor blades. Therefore, proper prediction of the aerodynamic loading and the blade deflection are necessary for monitoring the blade health. Compared to a rigid blade, the dynamics of a hingeless rotor blade is of particular interest for its inherent flexing tendency and strong coupling between different degrees-of-freedom of motion. With small-angle assumption, the deformed blade resembles a straight shape with constant flapping angle. However, in reality, the blade deforms with variable flapping angle with dynamic blade twist. In this paper, the coupled, steady-state dynamic response of the Bo 105 hingeless helicopter rotor blade is investigated at forward flight for different advance ratios without small-angle assumption. The velocity distributions are generalized and the torsional deformation is introduced to modify the total blade twist for deriving the corresponding angle of attack. The solution to the resulting nonlinear equations is obtained by formulating the generalized method of lines for coupled, flap-lag-torsion degrees-of-freedom in terms of time-varying deflections and other aerodynamic parameters. The deflections and other parameters obtained from this analysis differ significantly than that of the small-angle assumption. The model is validated by comparing the method of lines solutions with finite element and published results.

直升机周围的空气动力学环境的强烈特性会导致转子叶片的过度偏转。因此，对于空气动力学负载和叶片挠度的正确预测对于监视叶片健康是必要的。与刚性叶片相比，无铰链转子叶片的动力学特性因其固有的挠曲趋势和不同运动自由度之间的强耦合而特别受关注。在小角度假设下，变形的叶片类似于具有恒定拍打角的笔直形状。然而，实际上，叶片随着动态叶片扭转而以可变的拍打角变形。在本文中，在没有小角度假设的情况下，研究了Bo 105无铰链直升机旋翼桨叶在正向飞行时对于不同的前进比的耦合稳态动态响应。对速度分布进行了概括，并引入了扭转变形以修改总叶片扭转，以得出相应的迎角。通过针对随时间变化的挠度和其他空气动力学参数制定耦合襟翼滞后扭转自由度的线的通用方法，可以得出所得非线性方程的解。从该分析中获得的挠度和其他参数与小角度假设的挠度和其他参数明显不同。通过将线法与有限元法和公开结果进行比较，验证了该模型的有效性。通过针对随时间变化的挠度和其他空气动力学参数制定耦合襟翼滞后扭转自由度的线的通用方法，可以得出所得非线性方程的解。从该分析中获得的挠度和其他参数与小角度假设的挠度和其他参数明显不同。通过将线法与有限元法和公开结果进行比较，验证了该模型的有效性。通过针对随时间变化的挠度和其他空气动力学参数制定耦合襟翼滞后扭转自由度的线的通用方法，可以得出所得非线性方程的解。从该分析中获得的挠度和其他参数与小角度假设的挠度和其他参数明显不同。通过将线法与有限元法和公开结果进行比较，验证了该模型的有效性。